Question

solve for x.
$x + 5 \leq -1$ or $x - 11 \geq -10$
write your answer as a compound inequality with integers.

Explanation:

Step1: Solve first inequality

Subtract 5 from both sides:
$x + 5 - 5 \leq -1 - 5$
$x \leq -6$

Step2: Solve second inequality

Add 11 to both sides:
$x - 11 + 11 \geq -10 + 11$
$x \geq 1$

Step3: Combine compound inequality

Combine the two solutions with "or".

Answer:

$x \leq -6$ or $x \geq 1$